Cremona's table of elliptic curves

1950 = 2 · 3 · 5² · 13

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 13-	Signs for the Atkin-Lehner involutions
Class	1950y	Isogeny class
Conductor	1950	Conductor
∏ cp	1000	Product of Tamagawa factors cp
deg	33600	Modular degree for the optimal curve
Δ	-574737097870540800 = -1 · 220 · 310 · 52 · 135	Discriminant
Eigenvalues	2- 3- 5+  3 -3 13-  3  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-355303,-89334583]	[a1,a2,a3,a4,a6]
j	-198417696411528597145/22989483914821632	j-invariant
L	3.8856214655153	L(r)(E,1)/r!
Ω	0.097140536637882	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	5	Number of elements in the torsion subgroup
Twists	15600bm1 62400o1 5850q1 1950b2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1950y1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	-	+	3	-3	-	3	0	4	5	-3	-12	2	4	3	9	15	-3	-7	-8	-16	0	-1	0	-2

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Quadratic twists for elliptic curve 1950y1

-4	8	-3	5	-7	13
15600bm1	62400o1	5850q1	1950b2	95550gr1	25350bf1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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